2013323114000 has 240 divisors, whose sum is σ = 5464895724288. Its totient is φ = 716536480000.

The previous prime is 2013323113979. The next prime is 2013323114003. The reversal of 2013323114000 is 4113233102.

It is a super-2 number, since 2×2013323114000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (2013323114003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11285495 + ... + 11462505.

Almost surely, 2^{2013323114000} is an apocalyptic number.

2013323114000 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 2013323114000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2732447862144).

2013323114000 is an abundant number, since it is smaller than the sum of its proper divisors (3451572610288).

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

2013323114000 is a wasteful number, since it uses less digits than its factorization.

2013323114000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177103 (or 177076 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 2013323114000 its reverse (4113233102), we get a palindrome (2017436347102).

The spelling of 2013323114000 in words is "two trillion, thirteen billion, three hundred twenty-three million, one hundred fourteen thousand".