100031319993 has 24 divisors (see below), whose sum is σ = 149538886560. Its totient is φ = 58986501120.

The previous prime is 100031319989. The next prime is 100031320007. The reversal of 100031319993 is 399913130001.

It is not a de Polignac number, because 100031319993 - 2² = 100031319989 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100031311993) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1061928 + ... + 1152281.

It is an arithmetic number, because the mean of its divisors is an integer number (6230786940).

Almost surely, 2^100031319993 is an apocalyptic number.

It is an amenable number.

100031319993 is a deficient number, since it is larger than the sum of its proper divisors (49507566567).

100031319993 is a wasteful number, since it uses less digits than its factorization.

100031319993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2214297 (or 2214260 counting only the distinct ones).

The product of its (nonzero) digits is 19683, while the sum is 39.

Adding to 100031319993 its reverse (399913130001), we get a palindrome (499944449994).

It can be divided in two parts, 1000313 and 19993, that added together give a triangular number (1020306 = T₁₄₂₈).

The spelling of 100031319993 in words is "one hundred billion, thirty-one million, three hundred nineteen thousand, nine hundred ninety-three".