102013002121331 has 16 divisors (see below), whose sum is σ = 118514405425920. Its totient is φ = 85994036203680.

The previous prime is 102013002121321. The next prime is 102013002121397. The reversal of 102013002121331 is 133121200310201.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102013002121331 is a prime.

It is a super-2 number, since 2×102013002121331² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102013002121321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13998641 + ... + 19999698.

It is an arithmetic number, because the mean of its divisors is an integer number (7407150339120).

Almost surely, 2^{102013002121331} is an apocalyptic number.

102013002121331 is a deficient number, since it is larger than the sum of its proper divisors (16501403304589).

102013002121331 is an equidigital number, since it uses as much as digits as its factorization.

102013002121331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34005434.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 102013002121331 its reverse (133121200310201), we get a palindrome (235134202431532).

The spelling of 102013002121331 in words is "one hundred two trillion, thirteen billion, two million, one hundred twenty-one thousand, three hundred thirty-one".