101413040 has 20 divisors (see below), whose sum is σ = 235785504. Its totient is φ = 40565184.

The previous prime is 101413031. The next prime is 101413061. The reversal of 101413040 is 40314101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 633752 + ... + 633911.

Almost surely, 2^101413040 is an apocalyptic number.

101413040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101413040 is an abundant number, since it is smaller than the sum of its proper divisors (134372464).

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

101413040 is a wasteful number, since it uses less digits than its factorization.

101413040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1267676 (or 1267670 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 101413040 is about 10070.4041626938. The cubic root of 101413040 is about 466.3349161439.

Adding to 101413040 its reverse (40314101), we get a palindrome (141727141).

The spelling of 101413040 in words is "one hundred one million, four hundred thirteen thousand, forty".