20311301100000 has 576 divisors, whose sum is σ = 67445719697664. Its totient is φ = 5351424000000.

The previous prime is 20311301099977. The next prime is 20311301100017. The reversal of 20311301100000 is 110311302.

It is a super-2 number, since 2×20311301100000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10100098995 + ... + 10100101005.

It is an arithmetic number, because the mean of its divisors is an integer number (117093263364).

Almost surely, 2^{20311301100000} is an apocalyptic number.

20311301100000 is a gapful number since it is divisible by the number (20) 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 20311301100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33722859848832).

20311301100000 is an abundant number, since it is smaller than the sum of its proper divisors (47134418597664).

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

20311301100000 is a wasteful number, since it uses less digits than its factorization.

20311301100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2437 (or 2409 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 20311301100000 its reverse (110311302), we get a palindrome (20311411411302).

The spelling of 20311301100000 in words is "twenty trillion, three hundred eleven billion, three hundred one million, one hundred thousand".