20111320101312 has 896 divisors, whose sum is σ = 69272603136000. Its totient is φ = 5657200496640.

The previous prime is 20111320101287. The next prime is 20111320101329. The reversal of 20111320101312 is 21310102311102.

20111320101312 is a `hidden beast` number, since 20 + 1 + 1 + 1 + 320 + 10 + 1 + 312 = 666.

It is a super-2 number, since 2×20111320101312² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4766843139 + ... + 4766847357.

Almost surely, 2^{20111320101312} is an apocalyptic number.

20111320101312 is a gapful number since it is divisible by the number (22) 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 20111320101312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34636301568000).

20111320101312 is an abundant number, since it is smaller than the sum of its proper divisors (49161283034688).

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

20111320101312 is a wasteful number, since it uses less digits than its factorization.

20111320101312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4534 (or 4518 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 20111320101312 its reverse (21310102311102), we get a palindrome (41421422412414).

The spelling of 20111320101312 in words is "twenty trillion, one hundred eleven billion, three hundred twenty million, one hundred one thousand, three hundred twelve".