101303101000 has 64 divisors (see below), whose sum is σ = 239396517360. Its totient is φ = 40120000000.

The previous prime is 101303100931. The next prime is 101303101001. The reversal of 101303101000 is 101303101.

It can be written as a sum of positive squares in 8 ways, for example, as 26810132644 + 74492968356 = 163738^2 + 272934^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (101303101001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 400501 + ... + 602500.

Almost surely, 2^101303101000 is an apocalyptic number.

101303101000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101303101000 is an abundant number, since it is smaller than the sum of its proper divisors (138093416360).

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

101303101000 is a wasteful number, since it uses less digits than its factorization.

101303101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1003123 (or 1003109 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 10.

Adding to 101303101000 its reverse (101303101), we get a palindrome (101404404101).

101303101000 divided by its reverse (101303101) gives a cube (1000 = 10³).

The spelling of 101303101000 in words is "one hundred one billion, three hundred three million, one hundred one thousand".