103131212012010 has 288 divisors, whose sum is σ = 346749002675712. Its totient is φ = 21057631015680.

The previous prime is 103131212012009. The next prime is 103131212012011. The reversal of 103131212012010 is 10210212131301.

103131212012010 is a `hidden beast` number, since 1 + 0 + 31 + 312 + 120 + 1 + 201 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (103131212012009) and next prime (103131212012011).

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 (103131212012011) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 27237364 + ... + 30791823.

It is an arithmetic number, because the mean of its divisors is an integer number (1203989592624).

Almost surely, 2^{103131212012010} is an apocalyptic number.

103131212012010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

103131212012010 is an abundant number, since it is smaller than the sum of its proper divisors (243617790663702).

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

103131212012010 is a wasteful number, since it uses less digits than its factorization.

103131212012010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58029258 (or 58029248 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 103131212012010 its reverse (10210212131301), we get a palindrome (113341424143311).

The spelling of 103131212012010 in words is "one hundred three trillion, one hundred thirty-one billion, two hundred twelve million, twelve thousand, ten".