100100031021113 has 8 divisors (see below), whose sum is σ = 105990130927080. Its totient is φ = 94210138091520.

The previous prime is 100100031021083. The next prime is 100100031021119. The reversal of 100100031021113 is 311120130001001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2972462190889 + 97127568830224 = 1724083^2 + 9855332^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100100031021113 - 2¹⁶ = 100100030955577 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100100031021119) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50747828 + ... + 52683413.

It is an arithmetic number, because the mean of its divisors is an integer number (13248766365885).

Almost surely, 2^{100100031021113} is an apocalyptic number.

It is an amenable number.

100100031021113 is a deficient number, since it is larger than the sum of its proper divisors (5890099905967).

100100031021113 is a wasteful number, since it uses less digits than its factorization.

100100031021113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103488187.

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 100100031021113 its reverse (311120130001001), we get a palindrome (411220161022114).

The spelling of 100100031021113 in words is "one hundred trillion, one hundred billion, thirty-one million, twenty-one thousand, one hundred thirteen".