331003411314113 has 48 divisors (see below), whose sum is σ = 372784241786880. Its totient is φ = 292908538958112.

The previous prime is 331003411314109. The next prime is 331003411314137. The reversal of 331003411314113 is 311413114300133.

It is not a de Polignac number, because 331003411314113 - 2² = 331003411314109 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (331003411314193) 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, 2032522256 + ... + 2032685102.

It is an arithmetic number, because the mean of its divisors is an integer number (7766338370560).

Almost surely, 2^{331003411314113} is an apocalyptic number.

It is an amenable number.

331003411314113 is a deficient number, since it is larger than the sum of its proper divisors (41780830472767).

331003411314113 is a wasteful number, since it uses less digits than its factorization.

331003411314113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167658 (or 167635 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 29.

Adding to 331003411314113 its reverse (311413114300133), we get a palindrome (642416525614246).

The spelling of 331003411314113 in words is "three hundred thirty-one trillion, three billion, four hundred eleven million, three hundred fourteen thousand, one hundred thirteen".