131312213010 has 192 divisors, whose sum is σ = 382932486144. Its totient is φ = 30939148800.

The previous prime is 131312212963. The next prime is 131312213027. The reversal of 131312213010 is 10312213131.

131312213010 is a `hidden beast` number, since 1 + 31 + 312 + 21 + 301 + 0 = 666.

It is a super-2 number, since 2×131312213010² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 53881512 + ... + 53883948.

It is an arithmetic number, because the mean of its divisors is an integer number (1994440032).

Almost surely, 2^131312213010 is an apocalyptic number.

131312213010 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 131312213010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191466243072).

131312213010 is an abundant number, since it is smaller than the sum of its proper divisors (251620273134).

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

131312213010 is a wasteful number, since it uses less digits than its factorization.

131312213010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3969 (or 3966 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 131312213010 its reverse (10312213131), we get a palindrome (141624426141).

The spelling of 131312213010 in words is "one hundred thirty-one billion, three hundred twelve million, two hundred thirteen thousand, ten".