313101323011332 has 192 divisors, whose sum is σ = 835597278996480. Its totient is φ = 101345129424000.

The previous prime is 313101323011319. The next prime is 313101323011361. The reversal of 313101323011332 is 233110323101313.

313101323011332 is a `hidden beast` number, since 3 + 1 + 3 + 1 + 0 + 1 + 323 + 0 + 1 + 1 + 332 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 313101323011296 and 313101323011305.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3442633483 + ... + 3442724429.

It is an arithmetic number, because the mean of its divisors is an integer number (4352069161440).

Almost surely, 2^{313101323011332} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313101323011332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417798639498240).

313101323011332 is an abundant number, since it is smaller than the sum of its proper divisors (522495955985148).

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

313101323011332 is a wasteful number, since it uses less digits than its factorization.

313101323011332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97799 (or 97791 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 313101323011332 its reverse (233110323101313), we get a palindrome (546211646112645).

The spelling of 313101323011332 in words is "three hundred thirteen trillion, one hundred one billion, three hundred twenty-three million, eleven thousand, three hundred thirty-two".