10131536242620 has 384 divisors, whose sum is σ = 34293356697600. Its totient is φ = 2468348246016.

The previous prime is 10131536242573. The next prime is 10131536242649. The reversal of 10131536242620 is 2624263513101.

10131536242620 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 1 + 5 + 3 + 6 + 24 + 2 + 620 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2142424416 + ... + 2142429144.

It is an arithmetic number, because the mean of its divisors is an integer number (89305616400).

Almost surely, 2^{10131536242620} is an apocalyptic number.

10131536242620 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 10131536242620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17146678348800).

10131536242620 is an abundant number, since it is smaller than the sum of its proper divisors (24161820454980).

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

10131536242620 is a wasteful number, since it uses less digits than its factorization.

10131536242620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7826 (or 7818 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 10131536242620 its reverse (2624263513101), we get a palindrome (12755799755721).

The spelling of 10131536242620 in words is "ten trillion, one hundred thirty-one billion, five hundred thirty-six million, two hundred forty-two thousand, six hundred twenty".