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31013221112013 = 3725325715488899
BaseRepresentation
bin1110000110100110101000…
…00001110001100011001101
311001210211112200222021002110
413003103110001301203031
513031110034101041023
6145543135504014233
76350426346630300
oct703232401614315
9131724480867073
1031013221112013
1199776a68940a8
12358a6a1001379
13143c6c384639a
14793095678b37
1538bad20bba93
hex1c34d40718cd

31013221112013 has 48 divisors (see below), whose sum is σ = 49200428894400. Its totient is φ = 17319809654784.

The previous prime is 31013221111949. The next prime is 31013221112017. The reversal of 31013221112013 is 31021112231013.

It is not a de Polignac number, because 31013221112013 - 26 = 31013221111949 is a prime.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31013221112017) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5742163 + ... + 9746736.

It is an arithmetic number, because the mean of its divisors is an integer number (1025008935300).

Almost surely, 231013221112013 is an apocalyptic number.

It is an amenable number.

31013221112013 is a deficient number, since it is larger than the sum of its proper divisors (18187207782387).

31013221112013 is a wasteful number, since it uses less digits than its factorization.

31013221112013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15489226 (or 15489219 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 31013221112013 its reverse (31021112231013), we get a palindrome (62034333343026).

The spelling of 31013221112013 in words is "thirty-one trillion, thirteen billion, two hundred twenty-one million, one hundred twelve thousand, thirteen".

Divisors: 1 3 7 21 49 53 147 159 257 371 771 1113 1799 2597 5397 7791 12593 13621 37779 40863 95347 286041 667429 2002287 15488899 46466697 108422293 325266879 758956051 820911647 2276868153 2462734941 3980647043 5746381529 11941941129 17239144587 27864529301 40224670703 83593587903 120674012109 195051705107 210974293279 585155115321 632922879837 1476820052953 4430460158859 10337740370671 31013221112013