10010031101300 has 72 divisors (see below), whose sum is σ = 23009744782080. Its totient is φ = 3766806720000.

The previous prime is 10010031101267. The next prime is 10010031101327. The reversal of 10010031101300 is 310113001001.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2518781 + ... + 5134619.

It is an arithmetic number, because the mean of its divisors is an integer number (319579788640).

Almost surely, 2^{10010031101300} is an apocalyptic number.

10010031101300 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 10010031101300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11504872391040).

10010031101300 is an abundant number, since it is smaller than the sum of its proper divisors (12999713680780).

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

10010031101300 is a wasteful number, since it uses less digits than its factorization.

10010031101300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2618121 (or 2618114 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 11.

Adding to 10010031101300 its reverse (310113001001), we get a palindrome (10320144102301).

The spelling of 10010031101300 in words is "ten trillion, ten billion, thirty-one million, one hundred one thousand, three hundred".