13002331011331 has 16 divisors (see below), whose sum is σ = 13191344812800. Its totient is φ = 12814701259360.

The previous prime is 13002331011311. The next prime is 13002331011353. The reversal of 13002331011331 is 13311013320031.

13002331011331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 13002331011331 - 2⁹ = 13002331010819 is a prime.

It is a super-3 number, since 3×13002331011331³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13002331011311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 153826026 + ... + 153910528.

It is an arithmetic number, because the mean of its divisors is an integer number (824459050800).

Almost surely, 2^{13002331011331} is an apocalyptic number.

13002331011331 is a deficient number, since it is larger than the sum of its proper divisors (189013801469).

13002331011331 is a wasteful number, since it uses less digits than its factorization.

13002331011331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92666.

The product of its (nonzero) digits is 486, while the sum is 22.

Adding to 13002331011331 its reverse (13311013320031), we get a palindrome (26313344331362).

The spelling of 13002331011331 in words is "thirteen trillion, two billion, three hundred thirty-one million, eleven thousand, three hundred thirty-one".