131021001120 has 96 divisors (see below), whose sum is σ = 417353549760. Its totient is φ = 34546350080.

The previous prime is 131021001113. The next prime is 131021001169. The reversal of 131021001120 is 21100120131.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 131021001096 and 131021001105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1490766 + ... + 1576205.

It is an arithmetic number, because the mean of its divisors is an integer number (4347432810).

Almost surely, 2^131021001120 is an apocalyptic number.

131021001120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131021001120 is an abundant number, since it is smaller than the sum of its proper divisors (286332548640).

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

131021001120 is a wasteful number, since it uses less digits than its factorization.

131021001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3067078 (or 3067070 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 131021001120 its reverse (21100120131), we get a palindrome (152121121251).

The spelling of 131021001120 in words is "one hundred thirty-one billion, twenty-one million, one thousand, one hundred twenty".