6131662116100 has 36 divisors (see below), whose sum is σ = 13305942282724. Its totient is φ = 2452621438080.

The previous prime is 6131662116077. The next prime is 6131662116143. The reversal of 6131662116100 is 16112661316.

It can be written as a sum of positive squares in 6 ways, for example, as 59173481536 + 6072488634564 = 243256^2 + 2464242^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 5466994 + ... + 6492406.

Almost surely, 2^{6131662116100} is an apocalyptic number.

It is an amenable number.

6131662116100 is an abundant number, since it is smaller than the sum of its proper divisors (7174280166624).

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

6131662116100 is a wasteful number, since it uses less digits than its factorization.

6131662116100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1085224 (or 1085217 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 34.

Adding to 6131662116100 its reverse (16112661316), we get a palindrome (6147774777416).

The spelling of 6131662116100 in words is "six trillion, one hundred thirty-one billion, six hundred sixty-two million, one hundred sixteen thousand, one hundred".