13002131003310 has 64 divisors (see below), whose sum is σ = 34672799865600. Its totient is φ = 3467189882016.

The previous prime is 13002131003299. The next prime is 13002131003317. The reversal of 13002131003310 is 1330013120031.

It is a happy number.

13002131003310 is a `hidden beast` number, since 1 + 3 + 0 + 0 + 21 + 310 + 0 + 331 + 0 = 666.

It is a super-2 number, since 2×13002131003310² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13002131003317) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23996161 + ... + 24532019.

It is an arithmetic number, because the mean of its divisors is an integer number (541762497900).

Almost surely, 2^{13002131003310} is an apocalyptic number.

13002131003310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13002131003310 is an abundant number, since it is smaller than the sum of its proper divisors (21670668862290).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13002131003310 is a wasteful number, since it uses less digits than its factorization.

13002131003310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625742 (or 625736 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 13002131003310 its reverse (1330013120031), we get a palindrome (14332144123341).

The spelling of 13002131003310 in words is "thirteen trillion, two billion, one hundred thirty-one million, three thousand, three hundred ten".