100152636133 has 32 divisors (see below), whose sum is σ = 113657310720. Its totient is φ = 87417792000.

The previous prime is 100152636127. The next prime is 100152636137. The reversal of 100152636133 is 331636251001.

It is not a de Polignac number, because 100152636133 - 2⁹ = 100152635621 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100152636095 and 100152636104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100152636137) 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, 75815113 + ... + 75816433.

It is an arithmetic number, because the mean of its divisors is an integer number (3551790960).

Almost surely, 2^100152636133 is an apocalyptic number.

It is an amenable number.

100152636133 is a deficient number, since it is larger than the sum of its proper divisors (13504674587).

100152636133 is a wasteful number, since it uses less digits than its factorization.

100152636133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2509.

The product of its (nonzero) digits is 9720, while the sum is 31.

Adding to 100152636133 its reverse (331636251001), we get a palindrome (431788887134).

The spelling of 100152636133 in words is "one hundred billion, one hundred fifty-two million, six hundred thirty-six thousand, one hundred thirty-three".