1131213131400 has 192 divisors, whose sum is σ = 3830292345600. Its totient is φ = 273894048000.

The previous prime is 1131213131393. The next prime is 1131213131401. The reversal of 1131213131400 is 41313121311.

It is not an unprimeable number, because it can be changed into a prime (1131213131401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5246931 + ... + 5458269.

It is an arithmetic number, because the mean of its divisors is an integer number (19949439300).

Almost surely, 2^{1131213131400} is an apocalyptic number.

1131213131400 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 1131213131400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1915146172800).

1131213131400 is an abundant number, since it is smaller than the sum of its proper divisors (2699079214200).

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

1131213131400 is a wasteful number, since it uses less digits than its factorization.

1131213131400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212180 (or 212171 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 1131213131400 its reverse (41313121311), we get a palindrome (1172526252711).

The spelling of 1131213131400 in words is "one trillion, one hundred thirty-one billion, two hundred thirteen million, one hundred thirty-one thousand, four hundred".