331010001013 has 8 divisors (see below), whose sum is σ = 338436524160. Its totient is φ = 323599467840.

The previous prime is 331010000987. The next prime is 331010001017. The reversal of 331010001013 is 310100010133.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 331010001013 - 2⁹ = 331010000501 is a prime.

It is a super-2 number, since 2×331010001013² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 331010000984 and 331010001002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331010001017) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3955623 + ... + 4038436.

It is an arithmetic number, because the mean of its divisors is an integer number (42304565520).

Almost surely, 2^331010001013 is an apocalyptic number.

It is an amenable number.

331010001013 is a deficient number, since it is larger than the sum of its proper divisors (7426523147).

331010001013 is an equidigital number, since it uses as much as digits as its factorization.

331010001013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7994987.

The product of its (nonzero) digits is 27, while the sum is 13.

Adding to 331010001013 its reverse (310100010133), we get a palindrome (641110011146).

It can be divided in two parts, 3 and 31010001013, that multiplied together give a palindrome (93030003039).

The spelling of 331010001013 in words is "three hundred thirty-one billion, ten million, one thousand, thirteen".