101311011000 has 96 divisors (see below), whose sum is σ = 342431247600. Its totient is φ = 27016267200.

The previous prime is 101311010993. The next prime is 101311011007. The reversal of 101311011000 is 110113101.

It is an interprime number because it is at equal distance from previous prime (101311010993) and next prime (101311011007).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101311011007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5619390 + ... + 5637389.

Almost surely, 2^101311011000 is an apocalyptic number.

101311011000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101311011000 is an abundant number, since it is smaller than the sum of its proper divisors (241120236600).

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

101311011000 is a wasteful number, since it uses less digits than its factorization.

101311011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11256806 (or 11256789 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 9.

Adding to 101311011000 its reverse (110113101), we get a palindrome (101421124101).

The spelling of 101311011000 in words is "one hundred one billion, three hundred eleven million, eleven thousand".