131000016 has 80 divisors (see below), whose sum is σ = 395800064. Its totient is φ = 36554112.

The previous prime is 130999997. The next prime is 131000021. The reversal of 131000016 is 610000131.

It is a super-2 number, since 2×131000016² = 34322008384000512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 130999965 and 131000010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9915 + ... + 18981.

Almost surely, 2^131000016 is an apocalyptic number.

131000016 is a gapful number since it is divisible by the number (16) 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 131000016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197900032).

131000016 is an abundant number, since it is smaller than the sum of its proper divisors (264800048).

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

131000016 is a wasteful number, since it uses less digits than its factorization.

131000016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9128 (or 9122 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 131000016 is about 11445.5238412228. The cubic root of 131000016 is about 507.8753284901.

Adding to 131000016 its reverse (610000131), we get a palindrome (741000147).

The spelling of 131000016 in words is "one hundred thirty-one million, sixteen", and thus it is an aban number.