101413334040 has 128 divisors (see below), whose sum is σ = 315330840000. Its totient is φ = 26071123968.

The previous prime is 101413333871. The next prime is 101413334069. The reversal of 101413334040 is 40433314101.

It is a super-2 number, since 2×101413334040² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 101413334040.

It is a congruent number.

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, 379186 + ... + 588734.

Almost surely, 2^101413334040 is an apocalyptic number.

101413334040 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 101413334040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157665420000).

101413334040 is an abundant number, since it is smaller than the sum of its proper divisors (213917505960).

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

101413334040 is a wasteful number, since it uses less digits than its factorization.

101413334040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209709 (or 209705 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 101413334040 its reverse (40433314101), we get a palindrome (141846648141).

The spelling of 101413334040 in words is "one hundred one billion, four hundred thirteen million, three hundred thirty-four thousand, forty".