233313402000 has 640 divisors, whose sum is σ = 889793049600. Its totient is φ = 52564377600.

The previous prime is 233313401933. The next prime is 233313402001. The reversal of 233313402000 is 204313332.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (233313402001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 150233224 + ... + 150234776.

It is an arithmetic number, because the mean of its divisors is an integer number (1390301640).

Almost surely, 2^233313402000 is an apocalyptic number.

233313402000 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 233313402000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444896524800).

233313402000 is an abundant number, since it is smaller than the sum of its proper divisors (656479647600).

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

233313402000 is a wasteful number, since it uses less digits than its factorization.

233313402000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1673 (or 1643 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 233313402000 its reverse (204313332), we get a palindrome (233517715332).

The spelling of 233313402000 in words is "two hundred thirty-three billion, three hundred thirteen million, four hundred two thousand".