131313131010 has 96 divisors (see below), whose sum is σ = 345903553008. Its totient is φ = 34558617600.

The previous prime is 131313131009. The next prime is 131313131011. The reversal of 131313131010 is 10131313131.

131313131010 is a `hidden beast` number, since 1 + 31 + 313 + 1 + 310 + 10 = 666.

It is an interprime number because it is at equal distance from previous prime (131313131009) and next prime (131313131011).

It can be written as a sum of positive squares in 8 ways, for example, as 82707432921 + 48605698089 = 287589^2 + 220467^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (131313131011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2822094 + ... + 2868246.

Almost surely, 2^131313131010 is an apocalyptic number.

131313131010 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 131313131010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172951776504).

131313131010 is an abundant number, since it is smaller than the sum of its proper divisors (214590421998).

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

131313131010 is a wasteful number, since it uses less digits than its factorization.

131313131010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46580 (or 46577 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

Adding to 131313131010 its reverse (10131313131), we get a palindrome (141444444141).

The spelling of 131313131010 in words is "one hundred thirty-one billion, three hundred thirteen million, one hundred thirty-one thousand, ten".