13010000414240 has 96 divisors (see below), whose sum is σ = 30936821832000. Its totient is φ = 5170074467328.

The previous prime is 13010000414219. The next prime is 13010000414249. The reversal of 13010000414240 is 4241400001031.

It is a super-2 number, since 2×13010000414240² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (13010000414249) 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, 30403691 + ... + 30828629.

It is an arithmetic number, because the mean of its divisors is an integer number (322258560750).

Almost surely, 2^{13010000414240} is an apocalyptic number.

13010000414240 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 13010000414240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15468410916000).

13010000414240 is an abundant number, since it is smaller than the sum of its proper divisors (17926821417760).

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

13010000414240 is a wasteful number, since it uses less digits than its factorization.

13010000414240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426202 (or 426194 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 13010000414240 its reverse (4241400001031), we get a palindrome (17251400415271).

The spelling of 13010000414240 in words is "thirteen trillion, ten billion, four hundred fourteen thousand, two hundred forty".