100200010013031 has 16 divisors (see below), whose sum is σ = 133670783257088. Its totient is φ = 66764623507200.

The previous prime is 100200010013023. The next prime is 100200010013083. The reversal of 100200010013031 is 130310010002001.

It is not a de Polignac number, because 100200010013031 - 2³ = 100200010013023 is a prime.

It is a super-2 number, since 2×100200010013031² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100200010012998 and 100200010013016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100200010014031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 248736066 + ... + 249138576.

It is an arithmetic number, because the mean of its divisors is an integer number (8354423953568).

Almost surely, 2^{100200010013031} is an apocalyptic number.

100200010013031 is a deficient number, since it is larger than the sum of its proper divisors (33470773244057).

100200010013031 is a wasteful number, since it uses less digits than its factorization.

100200010013031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446262.

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 100200010013031 its reverse (130310010002001), we get a palindrome (230510020015032).

The spelling of 100200010013031 in words is "one hundred trillion, two hundred billion, ten million, thirteen thousand, thirty-one".