103031201021013 has 24 divisors (see below), whose sum is σ = 157604036412888. Its totient is φ = 64635989962752.

The previous prime is 103031201020933. The next prime is 103031201021029. The reversal of 103031201021013 is 310120102130301.

103031201021013 is a `hidden beast` number, since 10 + 303 + 120 + 10 + 210 + 13 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 52306351329969 + 50724849691044 = 7232313^2 + 7122138^2 .

It is not a de Polignac number, because 103031201021013 - 2⁸ = 103031201020757 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103031201025013) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56591206 + ... + 58383447.

It is an arithmetic number, because the mean of its divisors is an integer number (6566834850537).

Almost surely, 2^{103031201021013} is an apocalyptic number.

It is an amenable number.

103031201021013 is a deficient number, since it is larger than the sum of its proper divisors (54572835391875).

103031201021013 is a wasteful number, since it uses less digits than its factorization.

103031201021013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114980533 (or 114980530 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 103031201021013 its reverse (310120102130301), we get a palindrome (413151303151314).

The spelling of 103031201021013 in words is "one hundred three trillion, thirty-one billion, two hundred one million, twenty-one thousand, thirteen".