313232121312000 has 576 divisors, whose sum is σ = 1143919712452608. Its totient is φ = 75337113600000.

The previous prime is 313232121311983. The next prime is 313232121312007. The reversal of 313232121312000 is 213121232313.

It is a super-2 number, since 2×313232121312000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (313232121312007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 132944200 + ... + 135279800.

It is an arithmetic number, because the mean of its divisors is an integer number (1985971723008).

Almost surely, 2^{313232121312000} is an apocalyptic number.

313232121312000 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 313232121312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571959856226304).

313232121312000 is an abundant number, since it is smaller than the sum of its proper divisors (830687591140608).

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

313232121312000 is a wasteful number, since it uses less digits than its factorization.

313232121312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2335773 (or 2335749 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 313232121312000 its reverse (213121232313), we get a palindrome (313445242544313).

The spelling of 313232121312000 in words is "three hundred thirteen trillion, two hundred thirty-two billion, one hundred twenty-one million, three hundred twelve thousand".