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113131001213013 = 371511811931021291
BaseRepresentation
bin11001101110010001011101…
…001000111111000001010101
3112211120012212222201012020110
4121232101131020333001111
5104312014242302304023
61040335355305553233
732554305446643450
oct3156213510770125
9484505788635213
10113131001213013
1133057651958173
12108316674a5819
134b18291249204
141dd17d9288497
15d12be4b3aa93
hex66e45d23f055

113131001213013 has 64 divisors (see below), whose sum is σ = 175394759880704. Its totient is φ = 63532408320000.

The previous prime is 113131001212981. The next prime is 113131001213053. The reversal of 113131001213013 is 310312100131311.

It is not a de Polignac number, because 113131001213013 - 25 = 113131001212981 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113131001213053) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 110261898 + ... + 111283188.

It is an arithmetic number, because the mean of its divisors is an integer number (2740543123136).

Almost surely, 2113131001213013 is an apocalyptic number.

It is an amenable number.

113131001213013 is a deficient number, since it is larger than the sum of its proper divisors (62263758667691).

113131001213013 is a wasteful number, since it uses less digits than its factorization.

113131001213013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1021826.

The product of its (nonzero) digits is 162, while the sum is 21.

Adding to 113131001213013 its reverse (310312100131311), we get a palindrome (423443101344324).

The spelling of 113131001213013 in words is "one hundred thirteen trillion, one hundred thirty-one billion, one million, two hundred thirteen thousand, thirteen".

Divisors: 1 3 7 21 151 181 193 453 543 579 1057 1267 1351 3171 3801 4053 27331 29143 34933 81993 87429 104799 191317 204001 244531 573951 612003 733593 1021291 3063873 5274883 7149037 15824649 21447111 36924181 110772543 154214941 184853671 197109163 462644823 554561013 591327489 1079504587 1293975697 1379764141 3238513761 3881927091 4139292423 27912904321 29763483613 35676758503 83738712963 89290450839 107030275509 195390330247 208344385291 249737309521 586170990741 625033155873 749211928563 5387190533953 16161571601859 37710333737671 113131001213013