1131013313100 has 216 divisors, whose sum is σ = 3873149362992. Its totient is φ = 273776025600.

The previous prime is 1131013313069. The next prime is 1131013313123. The reversal of 1131013313100 is 13133101311.

1131013313100 is a `hidden beast` number, since 1 + 1 + 310 + 13 + 31 + 310 + 0 = 666.

It is a super-2 number, since 2×1131013313100² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6577824 + ... + 6747576.

Almost surely, 2^{1131013313100} is an apocalyptic number.

1131013313100 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 1131013313100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1936574681496).

1131013313100 is an abundant number, since it is smaller than the sum of its proper divisors (2742136049892).

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

1131013313100 is a wasteful number, since it uses less digits than its factorization.

1131013313100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170457 (or 170447 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

Adding to 1131013313100 its reverse (13133101311), we get a palindrome (1144146414411).

It can be divided in two parts, 113101 and 3313100, that added together give a square (3426201 = 1851²).

The spelling of 1131013313100 in words is "one trillion, one hundred thirty-one billion, thirteen million, three hundred thirteen thousand, one hundred".