131045251302030 has 256 divisors, whose sum is σ = 345398843059200. Its totient is φ = 31623093411840.

The previous prime is 131045251302019. The next prime is 131045251302041. The reversal of 131045251302030 is 30203152540131.

It is an interprime number because it is at equal distance from previous prime (131045251302019) and next prime (131045251302041).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16022156481 + ... + 16022164659.

It is an arithmetic number, because the mean of its divisors is an integer number (1349214230700).

Almost surely, 2^{131045251302030} is an apocalyptic number.

131045251302030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131045251302030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172699421529600).

131045251302030 is an abundant number, since it is smaller than the sum of its proper divisors (214353591757170).

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

131045251302030 is a wasteful number, since it uses less digits than its factorization.

131045251302030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10419.

The product of its (nonzero) digits is 10800, while the sum is 30.

The spelling of 131045251302030 in words is "one hundred thirty-one trillion, forty-five billion, two hundred fifty-one million, three hundred two thousand, thirty".