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332131013104013 is a prime number
BaseRepresentation
bin100101110000100100100011…
…1000011100001000110001101
31121112222102012100202110100222
41023201021013003201012031
5322013113303323312023
63134214514150001125
7126646450060530614
oct11341110703410615
91545872170673328
10332131013104013
1196910a76294532
12313012703461a5
1311342a87b27786
145c033264da87b
15285e753397cc8
hex12e12470e118d

332131013104013 has 2 divisors, whose sum is σ = 332131013104014. Its totient is φ = 332131013104012.

The previous prime is 332131013103997. The next prime is 332131013104073. The reversal of 332131013104013 is 310401310131233.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 292547260704169 + 39583752399844 = 17104013^2 + 6291562^2 .

It is a cyclic number.

It is not a de Polignac number, because 332131013104013 - 24 = 332131013103997 is a prime.

It is a super-2 number, since 2×3321310131040132 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (332131013104073) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 166065506552006 + 166065506552007.

It is an arithmetic number, because the mean of its divisors is an integer number (166065506552007).

Almost surely, 2332131013104013 is an apocalyptic number.

It is an amenable number.

332131013104013 is a deficient number, since it is larger than the sum of its proper divisors (1).

332131013104013 is an equidigital number, since it uses as much as digits as its factorization.

332131013104013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1944, while the sum is 26.

Adding to 332131013104013 its reverse (310401310131233), we get a palindrome (642532323235246).

The spelling of 332131013104013 in words is "three hundred thirty-two trillion, one hundred thirty-one billion, thirteen million, one hundred four thousand, thirteen".