131213311020 has 480 divisors, whose sum is σ = 478281900096. Its totient is φ = 29760307200.

The previous prime is 131213310971. The next prime is 131213311049. The reversal of 131213311020 is 20113312131.

131213311020 is a `hidden beast` number, since 1 + 312 + 1 + 331 + 1 + 0 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 131213310984 and 131213311002.

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 54830944 + ... + 54833336.

Almost surely, 2^131213311020 is an apocalyptic number.

131213311020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131213311020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239140950048).

131213311020 is an abundant number, since it is smaller than the sum of its proper divisors (347068589076).

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

131213311020 is a wasteful number, since it uses less digits than its factorization.

131213311020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2623 (or 2612 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 131213311020 its reverse (20113312131), we get a palindrome (151326623151).

The spelling of 131213311020 in words is "one hundred thirty-one billion, two hundred thirteen million, three hundred eleven thousand, twenty".