151050101341300 has 288 divisors, whose sum is σ = 404184893511168. Its totient is φ = 47815296122880.

The previous prime is 151050101341273. The next prime is 151050101341331. The reversal of 151050101341300 is 3143101050151.

It is a super-2 number, since 2×151050101341300² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5453649052 + ... + 5453676748.

It is an arithmetic number, because the mean of its divisors is an integer number (1403419769136).

Almost surely, 2^{151050101341300} is an apocalyptic number.

151050101341300 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 151050101341300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202092446755584).

151050101341300 is an abundant number, since it is smaller than the sum of its proper divisors (253134792169868).

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

151050101341300 is a wasteful number, since it uses less digits than its factorization.

151050101341300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36435 (or 36428 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 25.

Adding to 151050101341300 its reverse (3143101050151), we get a palindrome (154193202391451).

The spelling of 151050101341300 in words is "one hundred fifty-one trillion, fifty billion, one hundred one million, three hundred forty-one thousand, three hundred".