101003001320 has 128 divisors (see below), whose sum is σ = 255917975040. Its totient is φ = 35596661760.

The previous prime is 101003001271. The next prime is 101003001347. The reversal of 101003001320 is 23100300101.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5815850 + ... + 5833190.

It is an arithmetic number, because the mean of its divisors is an integer number (1999359180).

Almost surely, 2^101003001320 is an apocalyptic number.

101003001320 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 101003001320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127958987520).

101003001320 is an abundant number, since it is smaller than the sum of its proper divisors (154914973720).

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

101003001320 is a wasteful number, since it uses less digits than its factorization.

101003001320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17875 (or 17871 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 101003001320 its reverse (23100300101), we get a palindrome (124103301421).

The spelling of 101003001320 in words is "one hundred one billion, three million, one thousand, three hundred twenty".