10120311131100 has 144 divisors (see below), whose sum is σ = 30382660801920. Its totient is φ = 2597816390400.

The previous prime is 10120311131087. The next prime is 10120311131101. The reversal of 10120311131100 is 113111302101.

It is a super-2 number, since 2×10120311131100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10120311131100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10120311131101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1122519 + ... + 4636881.

Almost surely, 2^{10120311131100} is an apocalyptic number.

10120311131100 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 10120311131100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15191330400960).

10120311131100 is an abundant number, since it is smaller than the sum of its proper divisors (20262349670820).

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

10120311131100 is a wasteful number, since it uses less digits than its factorization.

10120311131100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3514740 (or 3514733 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 15.

Adding to 10120311131100 its reverse (113111302101), we get a palindrome (10233422433201).

The spelling of 10120311131100 in words is "ten trillion, one hundred twenty billion, three hundred eleven million, one hundred thirty-one thousand, one hundred".