131506030 has 64 divisors (see below), whose sum is σ = 261273600. Its totient is φ = 47468160.

The previous prime is 131506021. The next prime is 131506031. The reversal of 131506030 is 30605131.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a junction number, because it is equal to n+sod(n) for n = 131505989 and 131506007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131506031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 488736 + ... + 489004.

It is an arithmetic number, because the mean of its divisors is an integer number (4082400).

Almost surely, 2^131506030 is an apocalyptic number.

131506030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131506030 is a deficient number, since it is larger than the sum of its proper divisors (129767570).

131506030 is a wasteful number, since it uses less digits than its factorization.

131506030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409.

The product of its (nonzero) digits is 270, while the sum is 19.

The square root of 131506030 is about 11467.6078586600. The cubic root of 131506030 is about 508.5284119732.

The spelling of 131506030 in words is "one hundred thirty-one million, five hundred six thousand, thirty".