131013021024 has 240 divisors, whose sum is σ = 393562683360. Its totient is φ = 42745190400.

The previous prime is 131013021019. The next prime is 131013021031. The reversal of 131013021024 is 420120310131.

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 = 131013020988 and 131013021006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 23296677 + ... + 23302299.

It is an arithmetic number, because the mean of its divisors is an integer number (1639844514).

Almost surely, 2^131013021024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131013021024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196781341680).

131013021024 is an abundant number, since it is smaller than the sum of its proper divisors (262549662336).

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

131013021024 is a wasteful number, since it uses less digits than its factorization.

131013021024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5835 (or 5818 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 131013021024 its reverse (420120310131), we get a palindrome (551133331155).

The spelling of 131013021024 in words is "one hundred thirty-one billion, thirteen million, twenty-one thousand, twenty-four".