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131313331302301 = 19109120075280733
BaseRepresentation
bin11101110110110111000100…
…011101110110111110011101
3122012221102122211120001210001
4131312313010131312332131
5114202414200303133201
61143140302301414301
736442034522451541
oct3566670435667635
9565842584501701
10131313331302301
1138927742209125
12128894a0b6a391
135836a4258ba85
14245d8560b3a21
15102ab63a64301
hex776dc4776f9d

131313331302301 has 16 divisors (see below), whose sum is σ = 139504318518400. Its totient is φ = 123250510554048.

The previous prime is 131313331302259. The next prime is 131313331302337. The reversal of 131313331302301 is 103203133313131.

It is a cyclic number.

It is not a de Polignac number, because 131313331302301 - 211 = 131313331300253 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 131313331302301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131313331302371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22226131 + ... + 27506863.

It is an arithmetic number, because the mean of its divisors is an integer number (8719019907400).

Almost surely, 2131313331302301 is an apocalyptic number.

It is an amenable number.

131313331302301 is a deficient number, since it is larger than the sum of its proper divisors (8190987216099).

131313331302301 is a wasteful number, since it uses less digits than its factorization.

131313331302301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5292868.

The product of its (nonzero) digits is 4374, while the sum is 28.

Adding to 131313331302301 its reverse (103203133313131), we get a palindrome (234516464615432).

The spelling of 131313331302301 in words is "one hundred thirty-one trillion, three hundred thirteen billion, three hundred thirty-one million, three hundred two thousand, three hundred one".

Divisors: 1 19 109 2071 12007 228133 1308763 5280733 24866497 100333927 575599897 10936398043 63405761131 1204709461489 6911227963279 131313331302301