10211302012131 has 192 divisors, whose sum is σ = 18482129842176. Its totient is φ = 5356805529600.

The previous prime is 10211302011997. The next prime is 10211302012141. The reversal of 10211302012131 is 13121020311201.

10211302012131 is a `hidden beast` number, since 1 + 0 + 211 + 302 + 0 + 121 + 31 = 666.

It is not a de Polignac number, because 10211302012131 - 2²⁷ = 10211167794403 is a prime.

It is a super-2 number, since 2×10211302012131² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10211302012141) 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 191 ways as a sum of consecutive naturals, for example, 82945735 + ... + 83068751.

It is an arithmetic number, because the mean of its divisors is an integer number (96261092928).

Almost surely, 2^{10211302012131} is an apocalyptic number.

10211302012131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10211302012131 is a deficient number, since it is larger than the sum of its proper divisors (8270827830045).

10211302012131 is a wasteful number, since it uses less digits than its factorization.

10211302012131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123162 (or 123159 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 10211302012131 its reverse (13121020311201), we get a palindrome (23332322323332).

The spelling of 10211302012131 in words is "ten trillion, two hundred eleven billion, three hundred two million, twelve thousand, one hundred thirty-one".