71821310810131 has 32 divisors (see below), whose sum is σ = 77104814976000. Its totient is φ = 66749063230080.

The previous prime is 71821310810113. The next prime is 71821310810141. The reversal of 71821310810131 is 13101801312817.

It is a cyclic number.

It is not a de Polignac number, because 71821310810131 - 2⁵ = 71821310810099 is a prime.

It is a super-2 number, since 2×71821310810131² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (71821310810111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51706810 + ... + 53077648.

It is an arithmetic number, because the mean of its divisors is an integer number (2409525468000).

Almost surely, 2^{71821310810131} is an apocalyptic number.

71821310810131 is a deficient number, since it is larger than the sum of its proper divisors (5283504165869).

71821310810131 is a wasteful number, since it uses less digits than its factorization.

71821310810131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1371379.

The product of its (nonzero) digits is 8064, while the sum is 37.

The spelling of 71821310810131 in words is "seventy-one trillion, eight hundred twenty-one billion, three hundred ten million, eight hundred ten thousand, one hundred thirty-one".