1131213001000 has 128 divisors (see below), whose sum is σ = 2712970260000. Its totient is φ = 441225984000.

The previous prime is 1131213000971. The next prime is 1131213001019. The reversal of 1131213001000 is 1003121311.

It can be written as a sum of positive squares in 16 ways, for example, as 125512901284 + 1005700099716 = 354278^2 + 1002846^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97943226 + ... + 97954774.

Almost surely, 2^{1131213001000} is an apocalyptic number.

1131213001000 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 1131213001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1356485130000).

1131213001000 is an abundant number, since it is smaller than the sum of its proper divisors (1581757259000).

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

1131213001000 is a wasteful number, since it uses less digits than its factorization.

1131213001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14000 (or 13986 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 1131213001000 its reverse (1003121311), we get a palindrome (1132216122311).

The spelling of 1131213001000 in words is "one trillion, one hundred thirty-one billion, two hundred thirteen million, one thousand".