101022013133320 has 32 divisors (see below), whose sum is σ = 227475867547800. Its totient is φ = 40377456275968.

The previous prime is 101022013133303. The next prime is 101022013133333. The reversal of 101022013133320 is 23331310220101.

It can be written as a sum of positive squares in 4 ways, for example, as 80104397411236 + 20917615722084 = 8950106^2 + 4573578^2 .

It is a junction number, because it is equal to n+sod(n) for n = 101022013133291 and 101022013133300.

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, 979603339 + ... + 979706458.

Almost surely, 2^{101022013133320} is an apocalyptic number.

101022013133320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101022013133320 is an abundant number, since it is smaller than the sum of its proper divisors (126453854414480).

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

101022013133320 is a wasteful number, since it uses less digits than its factorization.

101022013133320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1959311097 (or 1959311093 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 101022013133320 its reverse (23331310220101), we get a palindrome (124353323353421).

The spelling of 101022013133320 in words is "one hundred one trillion, twenty-two billion, thirteen million, one hundred thirty-three thousand, three hundred twenty".