101002131330 has 96 divisors (see below), whose sum is σ = 246530371392. Its totient is φ = 26483022720.

The previous prime is 101002131317. The next prime is 101002131359. The reversal of 101002131330 is 33131200101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 79092652 + ... + 79093928.

It is an arithmetic number, because the mean of its divisors is an integer number (2568024702).

Almost surely, 2^101002131330 is an apocalyptic number.

101002131330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101002131330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123265185696).

101002131330 is an abundant number, since it is smaller than the sum of its proper divisors (145528240062).

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

101002131330 is a wasteful number, since it uses less digits than its factorization.

101002131330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1952 (or 1881 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 101002131330 its reverse (33131200101), we get a palindrome (134133331431).

The spelling of 101002131330 in words is "one hundred one billion, two million, one hundred thirty-one thousand, three hundred thirty".