1231013133000 has 960 divisors, whose sum is σ = 5028583388400. Its totient is φ = 280085299200.

The previous prime is 1231013132983. The next prime is 1231013133047. The reversal of 1231013133000 is 3313101321.

It is a happy number.

1231013133000 is a `hidden beast` number, since 1 + 231 + 0 + 131 + 3 + 300 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 6321204036 + 1224691928964 = 79506^2 + 1106658^2 .

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 239 ways as a sum of consecutive naturals, for example, 1067660424 + ... + 1067661576.

Almost surely, 2^{1231013133000} is an apocalyptic number.

1231013133000 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 1231013133000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2514291694200).

1231013133000 is an abundant number, since it is smaller than the sum of its proper divisors (3797570255400).

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

1231013133000 is a wasteful number, since it uses less digits than its factorization.

1231013133000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1469 (or 1439 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 1231013133000 its reverse (3313101321), we get a palindrome (1234326234321).

The spelling of 1231013133000 in words is "one trillion, two hundred thirty-one billion, thirteen million, one hundred thirty-three thousand".