100022013013 has 32 divisors (see below), whose sum is σ = 113511720672. Its totient is φ = 87497625600.

The previous prime is 100022013001. The next prime is 100022013017. The reversal of 100022013013 is 310310220001.

It can be written as a sum of positive squares in 16 ways, for example, as 16481937924 + 83540075089 = 128382^2 + 289033^2 .

It is a cyclic number.

It is not a de Polignac number, because 100022013013 - 2²¹ = 100019915861 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100022012984 and 100022013002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100022013017) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 13031745 + ... + 13039417.

It is an arithmetic number, because the mean of its divisors is an integer number (3547241271).

Almost surely, 2^100022013013 is an apocalyptic number.

100022013013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

100022013013 is a deficient number, since it is larger than the sum of its proper divisors (13489707659).

100022013013 is a wasteful number, since it uses less digits than its factorization.

100022013013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8425.

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 100022013013 its reverse (310310220001), we get a palindrome (410332233014).

The spelling of 100022013013 in words is "one hundred billion, twenty-two million, thirteen thousand, thirteen".