10312121133020 has 96 divisors (see below), whose sum is σ = 26066495443968. Its totient is φ = 3350257016832.

The previous prime is 10312121133007. The next prime is 10312121133029. The reversal of 10312121133020 is 2033112121301.

It is a happy number.

10312121133020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 10312121132983 and 10312121133001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10312121133029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14620517 + ... + 15309596.

It is an arithmetic number, because the mean of its divisors is an integer number (271525994208).

Almost surely, 2^{10312121133020} is an apocalyptic number.

10312121133020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10312121133020 is an abundant number, since it is smaller than the sum of its proper divisors (15754374310948).

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

10312121133020 is a wasteful number, since it uses less digits than its factorization.

10312121133020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29930259 (or 29930257 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 10312121133020 its reverse (2033112121301), we get a palindrome (12345233254321).

The spelling of 10312121133020 in words is "ten trillion, three hundred twelve billion, one hundred twenty-one million, one hundred thirty-three thousand, twenty".