313213102230000 has 400 divisors, whose sum is σ = 1158506437271040. Its totient is φ = 71407507584000.

The previous prime is 313213102229987. The next prime is 313213102230013. The reversal of 313213102230000 is 32201312313.

It is an interprime number because it is at equal distance from previous prime (313213102229987) and next prime (313213102230013).

It is a tau number, because it is divible by the number of its divisors (400).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 79772917 + ... + 83607083.

Almost surely, 2^{313213102230000} is an apocalyptic number.

313213102230000 is a gapful number since it is divisible by the number (30) 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 313213102230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579253218635520).

313213102230000 is an abundant number, since it is smaller than the sum of its proper divisors (845293335041040).

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

313213102230000 is a wasteful number, since it uses less digits than its factorization.

313213102230000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3834594 (or 3834573 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 313213102230000 its reverse (32201312313), we get a palindrome (313245303542313).

The spelling of 313213102230000 in words is "three hundred thirteen trillion, two hundred thirteen billion, one hundred two million, two hundred thirty thousand".