13120101000 has 192 divisors, whose sum is σ = 44420987520. Its totient is φ = 3492777600.

The previous prime is 13120100969. The next prime is 13120101041. The reversal of 13120101000 is 10102131.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8846259 + ... + 8847741.

It is an arithmetic number, because the mean of its divisors is an integer number (231359310).

Almost surely, 2^13120101000 is an apocalyptic number.

13120101000 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 13120101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22210493760).

13120101000 is an abundant number, since it is smaller than the sum of its proper divisors (31300886520).

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

13120101000 is a wasteful number, since it uses less digits than its factorization.

13120101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2493 (or 2476 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 13120101000 its reverse (10102131), we get a palindrome (13130203131).

It can be divided in two parts, 1312010 and 1000, that added together give a triangular number (1313010 = T₁₆₂₀).

The spelling of 13120101000 in words is "thirteen billion, one hundred twenty million, one hundred one thousand".