2130210113031 has 256 divisors, whose sum is σ = 4417033420800. Its totient is φ = 978680102400.

The previous prime is 2130210113011. The next prime is 2130210113077. The reversal of 2130210113031 is 1303110120312.

It is not a de Polignac number, because 2130210113031 - 2¹⁸ = 2130209850887 is a prime.

It is a super-2 number, since 2×2130210113031² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2130210112995 and 2130210113013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2130210113011) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 102665200 + ... + 102685946.

It is an arithmetic number, because the mean of its divisors is an integer number (17254036800).

Almost surely, 2^{2130210113031} is an apocalyptic number.

2130210113031 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2130210113031 is an abundant number, since it is smaller than the sum of its proper divisors (2286823307769).

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

2130210113031 is a wasteful number, since it uses less digits than its factorization.

2130210113031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20947 (or 20941 counting only the distinct ones).

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

Adding to 2130210113031 its reverse (1303110120312), we get a palindrome (3433320233343).

The spelling of 2130210113031 in words is "two trillion, one hundred thirty billion, two hundred ten million, one hundred thirteen thousand, thirty-one".