1131014010400 has 72 divisors (see below), whose sum is σ = 2766578177664. Its totient is φ = 451506028800.

The previous prime is 1131014010389. The next prime is 1131014010403. The reversal of 1131014010400 is 40104101311.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (1131014010403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1002936 + ... + 1807735.

It is an arithmetic number, because the mean of its divisors is an integer number (38424696912).

Almost surely, 2^{1131014010400} is an apocalyptic number.

1131014010400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1131014010400 is an abundant number, since it is smaller than the sum of its proper divisors (1635564167264).

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

1131014010400 is a wasteful number, since it uses less digits than its factorization.

1131014010400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2811194 (or 2811181 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 1131014010400 its reverse (40104101311), we get a palindrome (1171118111711).

The spelling of 1131014010400 in words is "one trillion, one hundred thirty-one billion, fourteen million, ten thousand, four hundred".