15151341331100 has 144 divisors (see below), whose sum is σ = 36647420248320. Its totient is φ = 5398638336000.

The previous prime is 15151341331097. The next prime is 15151341331103. The reversal of 15151341331100 is 113314315151.

15151341331100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (15151341331097) and next prime (15151341331103).

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15151341331103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73449704 + ... + 73655696.

Almost surely, 2^{15151341331100} is an apocalyptic number.

15151341331100 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 15151341331100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18323710124160).

15151341331100 is an abundant number, since it is smaller than the sum of its proper divisors (21496078917220).

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

15151341331100 is a wasteful number, since it uses less digits than its factorization.

15151341331100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208000 (or 207993 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 29.

Adding to 15151341331100 its reverse (113314315151), we get a palindrome (15264655646251).

The spelling of 15151341331100 in words is "fifteen trillion, one hundred fifty-one billion, three hundred forty-one million, three hundred thirty-one thousand, one hundred".