20313478413312 has 176 divisors, whose sum is σ = 62292810508800. Its totient is φ = 5764898045952.

The previous prime is 20313478413311. The next prime is 20313478413313. The reversal of 20313478413312 is 21331487431302.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20313478413311) and next prime (20313478413313).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20313478413311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34173 + ... + 6374019.

Almost surely, 2^{20313478413312} 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 20313478413312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31146405254400).

20313478413312 is an abundant number, since it is smaller than the sum of its proper divisors (41979332095488).

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

20313478413312 is a wasteful number, since it uses less digits than its factorization.

20313478413312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6340026 (or 6340008 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The spelling of 20313478413312 in words is "twenty trillion, three hundred thirteen billion, four hundred seventy-eight million, four hundred thirteen thousand, three hundred twelve".