2010131213310 has 192 divisors, whose sum is σ = 5951556022464. Its totient is φ = 466360934400.

The previous prime is 2010131213281. The next prime is 2010131213339. The reversal of 2010131213310 is 133121310102.

2010131213310 is a `hidden beast` number, since 2 + 0 + 10 + 131 + 213 + 310 = 666.

It is an interprime number because it is at equal distance from previous prime (2010131213281) and next prime (2010131213339).

It is a super-2 number, since 2×2010131213310² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1784622 + ... + 2684238.

It is an arithmetic number, because the mean of its divisors is an integer number (30997687617).

Almost surely, 2^{2010131213310} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2010131213310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2975778011232).

2010131213310 is an abundant number, since it is smaller than the sum of its proper divisors (3941424809154).

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

2010131213310 is a wasteful number, since it uses less digits than its factorization.

2010131213310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 899739 (or 899736 counting only the distinct ones).

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

Adding to 2010131213310 its reverse (133121310102), we get a palindrome (2143252523412).

The spelling of 2010131213310 in words is "two trillion, ten billion, one hundred thirty-one million, two hundred thirteen thousand, three hundred ten".