1131341110400 has 96 divisors (see below), whose sum is σ = 2795151874500. Its totient is φ = 452473978880.

The previous prime is 1131341110391. The next prime is 1131341110439. The reversal of 1131341110400 is 40111431311.

It can be written as a sum of positive squares in 6 ways, for example, as 173902344256 + 957438766144 = 417016^2 + 978488^2 .

It is a super-2 number, since 2×1131341110400² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28296824 + ... + 28336776.

Almost surely, 2^{1131341110400} is an apocalyptic number.

1131341110400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1131341110400 is an abundant number, since it is smaller than the sum of its proper divisors (1663810764100).

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

1131341110400 is an equidigital number, since it uses as much as digits as its factorization.

1131341110400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48826 (or 48809 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 1131341110400 its reverse (40111431311), we get a palindrome (1171452541711).

The spelling of 1131341110400 in words is "one trillion, one hundred thirty-one billion, three hundred forty-one million, one hundred ten thousand, four hundred".