1007380137401 has 12 divisors (see below), whose sum is σ = 1107312869376. Its totient is φ = 915777576120.

The previous prime is 1007380137347. The next prime is 1007380137443. The reversal of 1007380137401 is 1047310837001.

It is not a de Polignac number, because 1007380137401 - 2³⁸ = 732502230457 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1007380133401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6678056 + ... + 6827238.

It is an arithmetic number, because the mean of its divisors is an integer number (92276072448).

Almost surely, 2^{1007380137401} is an apocalyptic number.

1007380137401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1007380137401 is a deficient number, since it is larger than the sum of its proper divisors (99932731975).

1007380137401 is a wasteful number, since it uses less digits than its factorization.

1007380137401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205012 (or 205001 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 35.

The spelling of 1007380137401 in words is "one trillion, seven billion, three hundred eighty million, one hundred thirty-seven thousand, four hundred one".