10220101131310 has 64 divisors (see below), whose sum is σ = 22011219417600. Its totient is φ = 3342444319872.

The previous prime is 10220101131293. The next prime is 10220101131311. The reversal of 10220101131310 is 1313110102201.

It is a happy number.

It is a super-2 number, since 2×10220101131310² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10220101131311) 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, 30160020 + ... + 30496999.

It is an arithmetic number, because the mean of its divisors is an integer number (343925303400).

Almost surely, 2^{10220101131310} is an apocalyptic number.

10220101131310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10220101131310 is an abundant number, since it is smaller than the sum of its proper divisors (11791118286290).

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

10220101131310 is a wasteful number, since it uses less digits than its factorization.

10220101131310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60657145.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 10220101131310 its reverse (1313110102201), we get a palindrome (11533211233511).

It can be divided in two parts, 102201011 and 31310, that added together give a square (102232321 = 10111²).

The spelling of 10220101131310 in words is "ten trillion, two hundred twenty billion, one hundred one million, one hundred thirty-one thousand, three hundred ten".