9813120002131 has 16 divisors (see below), whose sum is σ = 10264069416960. Its totient is φ = 9364206075840.

The previous prime is 9813120002117. The next prime is 9813120002143. The reversal of 9813120002131 is 1312000213189.

It is a cyclic number.

It is not a de Polignac number, because 9813120002131 - 2⁵ = 9813120002099 is a prime.

It is a super-2 number, since 2×9813120002131² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 9813120002093 and 9813120002102.

It is not an unprimeable number, because it can be changed into a prime (9813120002171) 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, 39216991 + ... + 39466423.

It is an arithmetic number, because the mean of its divisors is an integer number (641504338560).

Almost surely, 2^{9813120002131} is an apocalyptic number.

9813120002131 is a deficient number, since it is larger than the sum of its proper divisors (450949414829).

9813120002131 is a wasteful number, since it uses less digits than its factorization.

9813120002131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253506.

The product of its (nonzero) digits is 2592, while the sum is 31.

The spelling of 9813120002131 in words is "nine trillion, eight hundred thirteen billion, one hundred twenty million, two thousand, one hundred thirty-one".