821499034131 has 32 divisors (see below), whose sum is σ = 1225193195520. Its totient is φ = 543999773952.

The previous prime is 821499034121. The next prime is 821499034189. The reversal of 821499034131 is 131430994128.

821499034131 is a `hidden beast` number, since 8 + 2 + 149 + 90 + 3 + 413 + 1 = 666.

821499034131 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 821499034131 - 2²⁵ = 821465479699 is a prime.

It is a super-2 number, since 2×821499034131² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (821499034121) 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, 6352291 + ... + 6480323.

It is an arithmetic number, because the mean of its divisors is an integer number (38287287360).

Almost surely, 2^821499034131 is an apocalyptic number.

821499034131 is a deficient number, since it is larger than the sum of its proper divisors (403694161389).

821499034131 is a wasteful number, since it uses less digits than its factorization.

821499034131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129632 (or 129626 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 821499034131 in words is "eight hundred twenty-one billion, four hundred ninety-nine million, thirty-four thousand, one hundred thirty-one".