10131313301300 has 72 divisors (see below), whose sum is σ = 22349443445112. Its totient is φ = 3985361856000.

The previous prime is 10131313301299. The next prime is 10131313301323. The reversal of 10131313301300 is 310331313101.

It can be written as a sum of positive squares in 12 ways, for example, as 9318769707556 + 812543593744 = 3052666^2 + 901412^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33846290 + ... + 34144310.

Almost surely, 2^{10131313301300} is an apocalyptic number.

10131313301300 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 10131313301300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11174721722556).

10131313301300 is an abundant number, since it is smaller than the sum of its proper divisors (12218130143812).

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

10131313301300 is a wasteful number, since it uses less digits than its factorization.

10131313301300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303669 (or 303662 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 20.

Adding to 10131313301300 its reverse (310331313101), we get a palindrome (10441644614401).

The spelling of 10131313301300 in words is "ten trillion, one hundred thirty-one billion, three hundred thirteen million, three hundred one thousand, three hundred".