233130257997000 has 1024 divisors, whose sum is σ = 902645586984960. Its totient is φ = 48781522944000.

The previous prime is 233130257996983. The next prime is 233130257997017. The reversal of 233130257997000 is 799752031332.

It is an interprime number because it is at equal distance from previous prime (233130257996983) and next prime (233130257997017).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 17572184367 + ... + 17572197633.

It is an arithmetic number, because the mean of its divisors is an integer number (881489831040).

Almost surely, 2^{233130257997000} is an apocalyptic number.

233130257997000 is a gapful number since it is divisible by the number (20) 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 233130257997000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451322793492480).

233130257997000 is an abundant number, since it is smaller than the sum of its proper divisors (669515328987960).

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

233130257997000 is a wasteful number, since it uses less digits than its factorization.

233130257997000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13839 (or 13825 counting only the distinct ones).

The product of its (nonzero) digits is 2143260, while the sum is 51.

The spelling of 233130257997000 in words is "two hundred thirty-three trillion, one hundred thirty billion, two hundred fifty-seven million, nine hundred ninety-seven thousand".