1013101133321 has 8 divisors (see below), whose sum is σ = 1072773404424. Its totient is φ = 953437538560.

The previous prime is 1013101133281. The next prime is 1013101133417. The reversal of 1013101133321 is 1233311013101.

1013101133321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 47969760400 + 965131372921 = 219020^2 + 982411^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1013101133321 - 2²² = 1013096939017 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1013101133293 and 1013101133302.

It is not an unprimeable number, because it can be changed into a prime (1013101133521) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1927910 + ... + 2396463.

It is an arithmetic number, because the mean of its divisors is an integer number (134096675553).

Almost surely, 2^{1013101133321} is an apocalyptic number.

It is an amenable number.

1013101133321 is a deficient number, since it is larger than the sum of its proper divisors (59672271103).

1013101133321 is a wasteful number, since it uses less digits than its factorization.

1013101133321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4338171.

The product of its (nonzero) digits is 162, while the sum is 20.

Adding to 1013101133321 its reverse (1233311013101), we get a palindrome (2246412146422).

The spelling of 1013101133321 in words is "one trillion, thirteen billion, one hundred one million, one hundred thirty-three thousand, three hundred twenty-one".