1020345061137 has 8 divisors (see below), whose sum is σ = 1407372498240. Its totient is φ = 656773832400.

The previous prime is 1020345061081. The next prime is 1020345061147. The reversal of 1020345061137 is 7311605430201.

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

It is not a de Polignac number, because 1020345061137 - 2¹⁴ = 1020345044753 is a prime.

It is a super-2 number, since 2×1020345061137² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1020345061098 and 1020345061107.

It is not an unprimeable number, because it can be changed into a prime (1020345061147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5864051989 + ... + 5864052162.

It is an arithmetic number, because the mean of its divisors is an integer number (175921562280).

Almost surely, 2^{1020345061137} is an apocalyptic number.

It is an amenable number.

1020345061137 is a deficient number, since it is larger than the sum of its proper divisors (387027437103).

1020345061137 is a wasteful number, since it uses less digits than its factorization.

1020345061137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11728104183.

The product of its (nonzero) digits is 15120, while the sum is 33.

The spelling of 1020345061137 in words is "one trillion, twenty billion, three hundred forty-five million, sixty-one thousand, one hundred thirty-seven".