103313012211312 has 40 divisors (see below), whose sum is σ = 278495945963904. Its totient is φ = 32940380704704.

The previous prime is 103313012211307. The next prime is 103313012211317. The reversal of 103313012211312 is 213112210313301.

It is an interprime number because it is at equal distance from previous prime (103313012211307) and next prime (103313012211317).

It is a super-2 number, since 2×103313012211312² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103313012211317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46790312398 + ... + 46790314605.

Almost surely, 2^{103313012211312} is an apocalyptic number.

103313012211312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103313012211312 is an abundant number, since it is smaller than the sum of its proper divisors (175182933752592).

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

103313012211312 is a wasteful number, since it uses less digits than its factorization.

103313012211312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93580627037 (or 93580627031 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 103313012211312 its reverse (213112210313301), we get a palindrome (316425222524613).

The spelling of 103313012211312 in words is "one hundred three trillion, three hundred thirteen billion, twelve million, two hundred eleven thousand, three hundred twelve".