100332131214 has 64 divisors (see below), whose sum is σ = 238366711296. Its totient is φ = 27555479424.

The previous prime is 100332131209. The next prime is 100332131219. The reversal of 100332131214 is 412131233001.

It is an interprime number because it is at equal distance from previous prime (100332131209) and next prime (100332131219).

It is a super-2 number, since 2×100332131214² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100332131219) 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, 259957 + ... + 517920.

It is an arithmetic number, because the mean of its divisors is an integer number (3724479864).

Almost surely, 2^100332131214 is an apocalyptic number.

100332131214 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

100332131214 is an abundant number, since it is smaller than the sum of its proper divisors (138034580082).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100332131214 is a wasteful number, since it uses less digits than its factorization.

100332131214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778009.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 100332131214 its reverse (412131233001), we get a palindrome (512463364215).

The spelling of 100332131214 in words is "one hundred billion, three hundred thirty-two million, one hundred thirty-one thousand, two hundred fourteen".