133131231000 has 384 divisors, whose sum is σ = 457681311360. Its totient is φ = 34899840000.

The previous prime is 133131230983. The next prime is 133131231019. The reversal of 133131231000 is 132131331.

It is a happy number.

133131231000 is a `hidden beast` number, since 13 + 31 + 312 + 310 + 0 + 0 = 666.

It is a super-2 number, since 2×133131231000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 151802562 + ... + 151803438.

It is an arithmetic number, because the mean of its divisors is an integer number (1191878415).

Almost surely, 2^133131231000 is an apocalyptic number.

133131231000 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 133131231000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228840655680).

133131231000 is an abundant number, since it is smaller than the sum of its proper divisors (324550080360).

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

133131231000 is a wasteful number, since it uses less digits than its factorization.

133131231000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1172 (or 1155 counting only the distinct ones).

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

Adding to 133131231000 its reverse (132131331), we get a palindrome (133263362331).

The spelling of 133131231000 in words is "one hundred thirty-three billion, one hundred thirty-one million, two hundred thirty-one thousand".