131201420 has 72 divisors (see below), whose sum is σ = 324568944. Its totient is φ = 44413824.

The previous prime is 131201417. The next prime is 131201443. The reversal of 131201420 is 24102131.

It is a super-2 number, since 2×131201420² = 34427625220032800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 131201395 and 131201404.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80534 + ... + 82146.

It is an arithmetic number, because the mean of its divisors is an integer number (4507902).

Almost surely, 2^131201420 is an apocalyptic number.

131201420 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 131201420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162284472).

131201420 is an abundant number, since it is smaller than the sum of its proper divisors (193367524).

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

131201420 is a wasteful number, since it uses less digits than its factorization.

131201420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1719 (or 1710 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 131201420 is about 11454.3188361421. The cubic root of 131201420 is about 508.1354703081.

Adding to 131201420 its reverse (24102131), we get a palindrome (155303551).

The spelling of 131201420 in words is "one hundred thirty-one million, two hundred one thousand, four hundred twenty".