131002104201100 has 72 divisors (see below), whose sum is σ = 310155907376448. Its totient is φ = 47631261076800.

The previous prime is 131002104201097. The next prime is 131002104201103. The reversal of 131002104201100 is 1102401200131.

It is an interprime number because it is at equal distance from previous prime (131002104201097) and next prime (131002104201103).

It is not an unprimeable number, because it can be changed into a prime (131002104201103) 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, 1604707 + ... + 16265893.

It is an arithmetic number, because the mean of its divisors is an integer number (4307720935784).

Almost surely, 2^{131002104201100} is an apocalyptic number.

131002104201100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131002104201100 is an abundant number, since it is smaller than the sum of its proper divisors (179153803175348).

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

131002104201100 is a wasteful number, since it uses less digits than its factorization.

131002104201100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14669335 (or 14669328 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 131002104201100 its reverse (1102401200131), we get a palindrome (132104505401231).

The spelling of 131002104201100 in words is "one hundred thirty-one trillion, two billion, one hundred four million, two hundred one thousand, one hundred".