100022133113 has 32 divisors (see below), whose sum is σ = 126153031680. Its totient is φ = 77328794880.

The previous prime is 100022133097. The next prime is 100022133199. The reversal of 100022133113 is 311331220001.

It is not a de Polignac number, because 100022133113 - 2⁴ = 100022133097 is a prime.

It is a super-2 number, since 2×100022133113² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100022133091 and 100022133100.

It is not an unprimeable number, because it can be changed into a prime (100022130113) 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, 248348 + ... + 511586.

It is an arithmetic number, because the mean of its divisors is an integer number (3942282240).

Almost surely, 2^100022133113 is an apocalyptic number.

It is an amenable number.

100022133113 is a deficient number, since it is larger than the sum of its proper divisors (26130898567).

100022133113 is a wasteful number, since it uses less digits than its factorization.

100022133113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263397.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 100022133113 its reverse (311331220001), we get a palindrome (411353353114).

The spelling of 100022133113 in words is "one hundred billion, twenty-two million, one hundred thirty-three thousand, one hundred thirteen".