131016828460 has 96 divisors (see below), whose sum is σ = 319769533440. Its totient is φ = 44159558400.

The previous prime is 131016828457. The next prime is 131016828463. The reversal of 131016828460 is 64828610131.

It is an interprime number because it is at equal distance from previous prime (131016828457) and next prime (131016828463).

It is not an unprimeable number, because it can be changed into a prime (131016828463) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23149111 + ... + 23154769.

It is an arithmetic number, because the mean of its divisors is an integer number (3330932640).

Almost surely, 2^131016828460 is an apocalyptic number.

131016828460 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 131016828460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159884766720).

131016828460 is an abundant number, since it is smaller than the sum of its proper divisors (188752704980).

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

131016828460 is a wasteful number, since it uses less digits than its factorization.

131016828460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8447 (or 8445 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 40.

The spelling of 131016828460 in words is "one hundred thirty-one billion, sixteen million, eight hundred twenty-eight thousand, four hundred sixty".