100334342031 has 128 divisors (see below), whose sum is σ = 177305075712. Its totient is φ = 48926592000.

The previous prime is 100334342021. The next prime is 100334342047. The reversal of 100334342031 is 130243433001.

It is not a de Polignac number, because 100334342031 - 2¹³ = 100334333839 is a prime.

It is a super-2 number, since 2×100334342031² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100334341992 and 100334342010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100334342021) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 185460621 + ... + 185461161.

It is an arithmetic number, because the mean of its divisors is an integer number (1385195904).

Almost surely, 2^100334342031 is an apocalyptic number.

100334342031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100334342031 is a deficient number, since it is larger than the sum of its proper divisors (76970733681).

100334342031 is a wasteful number, since it uses less digits than its factorization.

100334342031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1173.

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 100334342031 its reverse (130243433001), we get a palindrome (230577775032).

The spelling of 100334342031 in words is "one hundred billion, three hundred thirty-four million, three hundred forty-two thousand, thirty-one".