1313133003020 has 48 divisors (see below), whose sum is σ = 2922245575200. Its totient is φ = 494771719680.

The previous prime is 1313133003011. The next prime is 1313133003029. The reversal of 1313133003020 is 203003313131.

It is an interprime number because it is at equal distance from previous prime (1313133003011) and next prime (1313133003029).

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 = 1313133002983 and 1313133003001.

It is not an unprimeable number, because it can be changed into a prime (1313133003029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27586250 + ... + 27633809.

It is an arithmetic number, because the mean of its divisors is an integer number (60880116150).

Almost surely, 2^{1313133003020} is an apocalyptic number.

1313133003020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1313133003020 is an abundant number, since it is smaller than the sum of its proper divisors (1609112572180).

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

1313133003020 is a wasteful number, since it uses less digits than its factorization.

1313133003020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55220138 (or 55220136 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 1313133003020 its reverse (203003313131), we get a palindrome (1516136316151).

The spelling of 1313133003020 in words is "one trillion, three hundred thirteen billion, one hundred thirty-three million, three thousand, twenty".