131214304001020 has 96 divisors (see below), whose sum is σ = 276977666359296. Its totient is φ = 52214418547200.

The previous prime is 131214304000973. The next prime is 131214304001041. The reversal of 131214304001020 is 20100403412131.

It is a super-2 number, since 2×131214304001020² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131214304000982 and 131214304001000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18196405215 + ... + 18196412425.

It is an arithmetic number, because the mean of its divisors is an integer number (2885184024576).

Almost surely, 2^{131214304001020} is an apocalyptic number.

131214304001020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131214304001020 is an abundant number, since it is smaller than the sum of its proper divisors (145763362358276).

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

131214304001020 is a wasteful number, since it uses less digits than its factorization.

131214304001020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12011 (or 12009 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 131214304001020 its reverse (20100403412131), we get a palindrome (151314707413151).

The spelling of 131214304001020 in words is "one hundred thirty-one trillion, two hundred fourteen billion, three hundred four million, one thousand, twenty".