10031120111300 has 36 divisors (see below), whose sum is σ = 23047973624340. Its totient is φ = 3776421688320.

The previous prime is 10031120111293. The next prime is 10031120111303. The reversal of 10031120111300 is 311102113001.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1083447828544 + 8947672282756 = 1040888^2 + 2991266^2 .

It is not an unprimeable number, because it can be changed into a prime (10031120111303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2950327745 + ... + 2950331144.

It is an arithmetic number, because the mean of its divisors is an integer number (640221489565).

Almost surely, 2^{10031120111300} is an apocalyptic number.

10031120111300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10031120111300 is an abundant number, since it is smaller than the sum of its proper divisors (13016853513040).

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

10031120111300 is a wasteful number, since it uses less digits than its factorization.

10031120111300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5900658920 (or 5900658913 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 10031120111300 its reverse (311102113001), we get a palindrome (10342222224301).

The spelling of 10031120111300 in words is "ten trillion, thirty-one billion, one hundred twenty million, one hundred eleven thousand, three hundred".