313033110430040 has 512 divisors, whose sum is σ = 974334472151040. Its totient is φ = 87367104921600.

The previous prime is 313033110429983. The next prime is 313033110430043. The reversal of 313033110430040 is 40034011330313.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 313033110429991 and 313033110430009.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313033110430043) 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, 211916420 + ... + 213388460.

It is an arithmetic number, because the mean of its divisors is an integer number (1902997015920).

Almost surely, 2^{313033110430040} 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 313033110430040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487167236075520).

313033110430040 is an abundant number, since it is smaller than the sum of its proper divisors (661301361721000).

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

313033110430040 is a wasteful number, since it uses less digits than its factorization.

313033110430040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1472243 (or 1472239 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 26.

Adding to 313033110430040 its reverse (40034011330313), we get a palindrome (353067121760353).

The spelling of 313033110430040 in words is "three hundred thirteen trillion, thirty-three billion, one hundred ten million, four hundred thirty thousand, forty".