1233313131000 has 128 divisors (see below), whose sum is σ = 3980624731200. Its totient is φ = 317542668800.

The previous prime is 1233313130953. The next prime is 1233313131013. The reversal of 1233313131000 is 1313133321.

It is a super-2 number, since 2×1233313131000² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

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, 7001007 + ... + 7175006.

Almost surely, 2^{1233313131000} is an apocalyptic number.

1233313131000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1233313131000 is an abundant number, since it is smaller than the sum of its proper divisors (2747311600200).

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

1233313131000 is a wasteful number, since it uses less digits than its factorization.

1233313131000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14176066 (or 14176052 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 1233313131000 its reverse (1313133321), we get a palindrome (1234626264321).

The spelling of 1233313131000 in words is "one trillion, two hundred thirty-three billion, three hundred thirteen million, one hundred thirty-one thousand".