13102122000 has 240 divisors, whose sum is σ = 46433028096. Its totient is φ = 3176096000.

The previous prime is 13102121993. The next prime is 13102122001. The reversal of 13102122000 is 22120131.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (13102122001) 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, 716977 + ... + 735023.

Almost surely, 2^13102122000 is an apocalyptic number.

13102122000 is a gapful number since it is divisible by the number (10) 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 13102122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23216514048).

13102122000 is an abundant number, since it is smaller than the sum of its proper divisors (33330906096).

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

13102122000 is a wasteful number, since it uses less digits than its factorization.

13102122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18095 (or 18068 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 13102122000 its reverse (22120131), we get a palindrome (13124242131).

The spelling of 13102122000 in words is "thirteen billion, one hundred two million, one hundred twenty-two thousand".