131010334013020 has 576 divisors, whose sum is σ = 371038770748800. Its totient is φ = 38290524733440.

The previous prime is 131010334012981. The next prime is 131010334013087. The reversal of 131010334013020 is 20310433010131.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 131010334012982 and 131010334013000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 78496304746 + ... + 78496306414.

It is an arithmetic number, because the mean of its divisors is an integer number (644164532550).

Almost surely, 2^{131010334013020} is an apocalyptic number.

131010334013020 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 131010334013020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185519385374400).

131010334013020 is an abundant number, since it is smaller than the sum of its proper divisors (240028436735780).

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

131010334013020 is a wasteful number, since it uses less digits than its factorization.

131010334013020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3046 (or 3037 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 131010334013020 its reverse (20310433010131), we get a palindrome (151320767023151).

The spelling of 131010334013020 in words is "one hundred thirty-one trillion, ten billion, three hundred thirty-four million, thirteen thousand, twenty".