1301101213000 has 64 divisors (see below), whose sum is σ = 3050205790320. Its totient is φ = 519478272000.

The previous prime is 1301101212997. The next prime is 1301101213003. The reversal of 1301101213000 is 3121011031.

It is an interprime number because it is at equal distance from previous prime (1301101212997) and next prime (1301101213003).

It can be written as a sum of positive squares in 8 ways, for example, as 76285335204 + 1224815877796 = 276198^2 + 1106714^2 .

It is not an unprimeable number, because it can be changed into a prime (1301101213003) 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, 661497 + ... + 1743496.

Almost surely, 2^{1301101213000} is an apocalyptic number.

1301101213000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1301101213000 is an abundant number, since it is smaller than the sum of its proper divisors (1749104577320).

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

1301101213000 is a wasteful number, since it uses less digits than its factorization.

1301101213000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2405555 (or 2405541 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 1301101213000 its reverse (3121011031), we get a palindrome (1304222224031).

The spelling of 1301101213000 in words is "one trillion, three hundred one billion, one hundred one million, two hundred thirteen thousand".