2013102101322 has 320 divisors, whose sum is σ = 5382453694464. Its totient is φ = 556423188480.

The previous prime is 2013102101299. The next prime is 2013102101327. The reversal of 2013102101322 is 2231012013102.

2013102101322 is a `hidden beast` number, since 2 + 0 + 131 + 0 + 210 + 1 + 322 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2013102101295 and 2013102101304.

It is not an unprimeable number, because it can be changed into a prime (2013102101327) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 81007503 + ... + 81032349.

Almost surely, 2^{2013102101322} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2013102101322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2691226847232).

2013102101322 is an abundant number, since it is smaller than the sum of its proper divisors (3369351593142).

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

2013102101322 is a wasteful number, since it uses less digits than its factorization.

2013102101322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24995 (or 24986 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 2013102101322 its reverse (2231012013102), we get a palindrome (4244114114424).

The spelling of 2013102101322 in words is "two trillion, thirteen billion, one hundred two million, one hundred one thousand, three hundred twenty-two".