131003010 has 48 divisors (see below), whose sum is σ = 346394880. Its totient is φ = 34340640.

The previous prime is 131002997. The next prime is 131003011. The reversal of 131003010 is 10300131.

131003010 = 1461² + 1462² + ... + 1519².

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 131002983 and 131003001.

It is not an unprimeable number, because it can be changed into a prime (131003011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7026 + ... + 17645.

It is an arithmetic number, because the mean of its divisors is an integer number (7216560).

Almost surely, 2^131003010 is an apocalyptic number.

131003010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131003010 is an abundant number, since it is smaller than the sum of its proper divisors (215391870).

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

131003010 is a wasteful number, since it uses less digits than its factorization.

131003010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24743 (or 24740 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

The square root of 131003010 is about 11445.6546339648. The cubic root of 131003010 is about 507.8791976173.

Adding to 131003010 its reverse (10300131), we get a palindrome (141303141).

It can be divided in two parts, 13100 and 3010, that added together give a triangular number (16110 = T₁₇₉).

The spelling of 131003010 in words is "one hundred thirty-one million, three thousand, ten".