101113000 has 32 divisors (see below), whose sum is σ = 236606760. Its totient is φ = 40444800.

The previous prime is 101112959. The next prime is 101113009. The reversal of 101113000 is 311101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 5503716 + 95609284 = 2346^2 + 9778^2 .

It is not an unprimeable number, because it can be changed into a prime (101113009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49557 + ... + 51556.

Almost surely, 2^101113000 is an apocalyptic number.

101113000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101113000 is an abundant number, since it is smaller than the sum of its proper divisors (135493760).

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

101113000 is a wasteful number, since it uses less digits than its factorization.

101113000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101134 (or 101120 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 7.

The square root of 101113000 is about 10055.4960096457. The cubic root of 101113000 is about 465.8745633022.

Adding to 101113000 its reverse (311101), we get a palindrome (101424101).

The spelling of 101113000 in words is "one hundred one million, one hundred thirteen thousand".