1020120113310 has 64 divisors (see below), whose sum is σ = 2478688363008. Its totient is φ = 268668411264.

The previous prime is 1020120113291. The next prime is 1020120113317. The reversal of 1020120113310 is 133110210201.

It is a happy number.

It is a super-3 number, since 3×1020120113310³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1020120113310.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020120113317) 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, 710029 + ... + 1595111.

It is an arithmetic number, because the mean of its divisors is an integer number (38729505672).

Almost surely, 2^{1020120113310} is an apocalyptic number.

1020120113310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1020120113310 is an abundant number, since it is smaller than the sum of its proper divisors (1458568249698).

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

1020120113310 is a wasteful number, since it uses less digits than its factorization.

1020120113310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 885569.

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

Adding to 1020120113310 its reverse (133110210201), we get a palindrome (1153230323511).

The spelling of 1020120113310 in words is "one trillion, twenty billion, one hundred twenty million, one hundred thirteen thousand, three hundred ten".