20130110000000 has 1024 divisors, whose sum is σ = 67338952611840. Its totient is φ = 5788800000000.

The previous prime is 20130109999997. The next prime is 20130110000029. The reversal of 20130110000000 is 1103102.

It is a super-2 number, since 2×20130110000000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (8).

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, 10009998995 + ... + 10010001005.

It is an arithmetic number, because the mean of its divisors is an integer number (65760695910).

Almost surely, 2^{20130110000000} is an apocalyptic number.

20130110000000 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 20130110000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33669476305920).

20130110000000 is an abundant number, since it is smaller than the sum of its proper divisors (47208842611840).

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

20130110000000 is an frugal number, since it uses more digits than its factorization.

20130110000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2091 (or 2049 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

Adding to 20130110000000 its reverse (1103102), we get a palindrome (20130111103102).

The spelling of 20130110000000 in words is "twenty trillion, one hundred thirty billion, one hundred ten million", and thus it is an aban number.