101431616145 has 16 divisors (see below), whose sum is σ = 162893903040. Its totient is φ = 53895756224.

The previous prime is 101431616131. The next prime is 101431616183. The reversal of 101431616145 is 541616134101.

It is a cyclic number.

It is not a de Polignac number, because 101431616145 - 2⁵ = 101431616113 is a prime.

It is a super-2 number, since 2×101431616145² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12564939 + ... + 12573008.

It is an arithmetic number, because the mean of its divisors is an integer number (10180868940).

Almost surely, 2^101431616145 is an apocalyptic number.

101431616145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101431616145 is a deficient number, since it is larger than the sum of its proper divisors (61462286895).

101431616145 is a wasteful number, since it uses less digits than its factorization.

101431616145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25138224.

The product of its (nonzero) digits is 8640, while the sum is 33.

The spelling of 101431616145 in words is "one hundred one billion, four hundred thirty-one million, six hundred sixteen thousand, one hundred forty-five".