131414010 has 128 divisors (see below), whose sum is σ = 398974464. Its totient is φ = 26956800.

The previous prime is 131414009. The next prime is 131414039. The reversal of 131414010 is 10414131.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 100360 + ... + 101660.

It is an arithmetic number, because the mean of its divisors is an integer number (3116988).

Almost surely, 2^131414010 is an apocalyptic number.

131414010 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 131414010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199487232).

131414010 is an abundant number, since it is smaller than the sum of its proper divisors (267560454).

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

131414010 is a wasteful number, since it uses less digits than its factorization.

131414010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1368.

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 131414010 is about 11463.5949858672. The cubic root of 131414010 is about 508.4097717774.

Adding to 131414010 its reverse (10414131), we get a palindrome (141828141).

The spelling of 131414010 in words is "one hundred thirty-one million, four hundred fourteen thousand, ten".