101013021312 has 64 divisors (see below), whose sum is σ = 306646680000. Its totient is φ = 28860862464.

The previous prime is 101013021287. The next prime is 101013021337. The reversal of 101013021312 is 213120310101.

It is a happy number.

101013021312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (101013021287) and next prime (101013021337).

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 101013021291 and 101013021300.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18786937 + ... + 18792312.

It is an arithmetic number, because the mean of its divisors is an integer number (4791354375).

Almost surely, 2^101013021312 is an apocalyptic number.

101013021312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101013021312 is an abundant number, since it is smaller than the sum of its proper divisors (205633658688).

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

101013021312 is an equidigital number, since it uses as much as digits as its factorization.

101013021312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37579273 (or 37579261 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 101013021312 its reverse (213120310101), we get a palindrome (314133331413).

The spelling of 101013021312 in words is "one hundred one billion, thirteen million, twenty-one thousand, three hundred twelve".