1013414125500 has 288 divisors, whose sum is σ = 3789020971008. Its totient is φ = 231637320000.

The previous prime is 1013414125487. The next prime is 1013414125501. The reversal of 1013414125500 is 55214143101.

1013414125500 is a `hidden beast` number, since 1 + 0 + 1 + 34 + 1 + 4 + 125 + 500 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013414125501) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 254725 + ... + 1446275.

It is an arithmetic number, because the mean of its divisors is an integer number (13156322816).

Almost surely, 2^{1013414125500} is an apocalyptic number.

1013414125500 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 1013414125500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1894510485504).

1013414125500 is an abundant number, since it is smaller than the sum of its proper divisors (2775606845508).

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

1013414125500 is a wasteful number, since it uses less digits than its factorization.

1013414125500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1191592 (or 1191568 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 1013414125500 its reverse (55214143101), we get a palindrome (1068628268601).

The spelling of 1013414125500 in words is "one trillion, thirteen billion, four hundred fourteen million, one hundred twenty-five thousand, five hundred".