20315113205310 has 768 divisors, whose sum is σ = 70654229268480. Its totient is φ = 3922463232000.

The previous prime is 20315113205293. The next prime is 20315113205333. The reversal of 20315113205310 is 1350231151302.

20315113205310 is a `hidden beast` number, since 2 + 0 + 3 + 15 + 11 + 320 + 5 + 310 = 666.

It is a super-2 number, since 2×20315113205310² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2995884120 + ... + 2995890900.

It is an arithmetic number, because the mean of its divisors is an integer number (91997694360).

Almost surely, 2^{20315113205310} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20315113205310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35327114634240).

20315113205310 is an abundant number, since it is smaller than the sum of its proper divisors (50339116063170).

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

20315113205310 is a wasteful number, since it uses less digits than its factorization.

20315113205310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7265 (or 7262 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

Adding to 20315113205310 its reverse (1350231151302), we get a palindrome (21665344356612).

The spelling of 20315113205310 in words is "twenty trillion, three hundred fifteen billion, one hundred thirteen million, two hundred five thousand, three hundred ten".